Overview
Welcome to ColibrITD's Tutorial on Solving Partial Differential Equations with Quantum Computing!
In this tutorial, we will introduce you to a practical hybrid algorithm that transforms the problem of solving partial differential equations (PDEs) into an optimization task using a Variational Quantum Algorithm (VQA). Whether you're new to quantum computing or have some experience, this tutorial is tailored to help you explore its real-world potential.
Unlock Real-World Impact
Many industries depend on solving complex PDEs like the Navier-Stokes equations, which govern fluid flow. By solving the inviscid Burgers' equation, which can be seen as a simplification of the Navier-Stokes equation, you’re taking a key step toward addressing challenges in fields such as:
- Aerospace: Optimizing designs for aircraft and spacecraft by simulating fluid dynamics with greater precision.
- Public Health: Modeling pollution spread in urban areas to mitigate its impact on populations.
- Climate Science: Improving weather prediction models by enhancing the resolution and scalability of simulations.
What You Will Do:
- Learn the Basics: Break down the algorithm into simple concepts, understanding how quantum computing can be applied to solve DEs.
- Solve a Practical Problem: Work hands-on with a step-by-step implementation of the inviscid Burgers' equation, a foundational problem in computational fluid dynamics (CFD).
- Engage in Discussions: Join the conversation in our dedicated discussion channel, where you'll explore potential developments, share insights, and connect with fellow participants.
Get Started
Visit the Docs page for all the resources and instructions to begin your journey into quantum-powered CFD. We’re excited to see how you implement this and envision its potential for real-world applications!
